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Finding the Fourth Proportional to 4,594.61, 6,888.06 and 3,812.42

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Solution

The fourth proportional to 4,594.61, 6,888.06 and 3,812.42 is: 5,715.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.61 : 6,888.06 = 3,812.42 : x
  2. Step 2: Convert to fraction form
    4,594.61/6,888.06 = 3,812.42/x
  3. Step 3: Cross multiply
    4,594.61x = 6,888.06 × 3,812.42
  4. Step 4: Simplify right side
    4,594.61x = 26,260,177.71
  5. Step 5: Solve for x
    x = 26,260,177.71/4,594.61
  6. Step 6: Final answer
    x = 5,715.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.